Mark Scheifele and Kyle Connor each had breakaway goals for the Jets.
Morgan Barron had a pair of assists.
Eric Comrie made 29 saves for Winnipeg, who moved to .500 on the season at 28-28-10.
Dalibor Dvorsky and Dylan Holloway scored for the Blues.
Jordan Binnington turned aside 13 shots for St. Louis, who dropped to 27-30-10.
Haydn Fleury got the Jets on the board just over two and half minutes into the contest when he took a drop pass from Brad Lambert inside the left faceoff circle before snapping a wrister, beating Binnington glove side to make it 1-0 2:31 into the game.
The goal was his first of the season.
Mark Scheifele scored on a breakaway at 7:51 after he chipped the puck past Blues defenceman Cam Fowler at the Jets blueline before swooping in alone on Binnington and beating him with a backhand deke.
The goal was his 31st of the season.
There was no scoring in the second period.
Dalibor Dvorsky got the Blues on the board 5:17 into the third when he redirected a Jonatan Berggren feed past Comrie to make it 2-1.
Dvorsky drove the left post hard and got his blade on Berggren pass which beat Comrie's outstretched blocker.
. Kyle Connor scored on a breakaway 11:53 into the third period when Morgan Barron found him after he snuck behind the Blues defenceman and hit him with a stretch pass.
The Jet winger fired a wrister, beating Binnington blocker side to score his 31st of the season.
Dylan Holloway scored for the Blues with an extra attacker with 51 seconds left in regulation.
SHOTS-ST. LOUIS 31 WINNIPEG 16
ATTENDANCE-14,082
